On the quantitative dynamical Mordell-Lang conjecture

Alina Ostafe; Min Sha

doi:10.1016/j.jnt.2015.04.011

On the quantitative dynamical Mordell-Lang conjecture

Alina Ostafe, Min Sha^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

The dynamical Mordell-Lang conjecture concerns the structure of the intersection of an orbit in an algebraic dynamical system and an algebraic variety. In this paper, we bound the size of this intersection for various cases when it is finite.

Original language	English
Pages (from-to)	161-182
Number of pages	22
Journal	Journal of Number Theory
Volume	156
DOIs	https://doi.org/10.1016/j.jnt.2015.04.011
Publication status	Published - 1 Nov 2015
Externally published	Yes

Bibliographical note

Corrigendum can be found at Journal of Number Theory volume 164 p433-437, https://doi.org/10.1016/j.jnt.2016.01.014

Keywords

dynamical Mordell-Lang conjecture
exponential polynomial
linear equation
linear recurrence sequence

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10.1016/j.jnt.2015.04.011Licence: Other

Cite this

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title = "On the quantitative dynamical Mordell-Lang conjecture",

abstract = "The dynamical Mordell-Lang conjecture concerns the structure of the intersection of an orbit in an algebraic dynamical system and an algebraic variety. In this paper, we bound the size of this intersection for various cases when it is finite.",

keywords = "dynamical Mordell-Lang conjecture, exponential polynomial, linear equation, linear recurrence sequence",

author = "Alina Ostafe and Min Sha",

note = "Corrigendum can be found at Journal of Number Theory volume 164 p433-437, https://doi.org/10.1016/j.jnt.2016.01.014",

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AU - Sha, Min

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PY - 2015/11/1

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KW - exponential polynomial

KW - linear equation

KW - linear recurrence sequence

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ER -

On the quantitative dynamical Mordell-Lang conjecture

Abstract

Bibliographical note

Keywords

Access to Document

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